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An experimental examination of the large-eddy equilibrium hypothesis

Published online by Cambridge University Press:  28 March 2006

Ian S. Gartshore
Ian S. Gartshore
Affiliation:
Department of Mechanical Engineering, McGill University
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Abstract

The large-eddy energy equilibrium hypothesis states that the largest eddies of a turbulent shear flow are in approximate energy equilibrium throughout a significant part of their lives. This hypothesis leads to a relationship between the mean rate of shear strain and the Reynolds shear stress which involves the scale of the large eddies. By assuming that the large-eddy scale is proportional to the standard deviation of the free turbulent boundary, or laminar superlayer, the validity of this hypothesis may be checked experimentally. Intermittency and mean velocity measurements made in five different two-dimensional shear flows are presented and these results, together with values calculated from Townsend's measurements in a two-dimensional wake, support the form of relationship suggested by the energy equilibrium hypothesis.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 24 , Issue 1 , January 1966 , pp. 89 - 98
Copyright
© 1966 Cambridge University Press

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References

Bradshaw, P. & Ferriss, D. H. 1965 The response of a retarded equilibrium turbulent boundary layer to the sudden removal of pressure gradient. N.P.L. Aero. Rep. no. 1145.Google Scholar
Corrsin, S. & Kistler, A. L. 1947 Free stream boundaries of turbulent flows. NACA TN no. 1257.Google Scholar
Gartshore, I. S. 1965 The streamwise development of certain two dimensional turbulent shear flows. McGill Univ. MERL Rep. no. 65-3.Google Scholar
Grant, H. L. 1958 The large eddies of turbulent motion. J. Fluid Mech. 4, 149.Google Scholar
Klebanoff, P. S. 1955 Characteristics of turbulence in a boundary layer with zero pressure gradient. NACA Rep. no. 1247.Google Scholar
Patel, R. P. & Newman, B. G. 1961 Self preserving two dimensional turbulent jets and wall jets in a moving stream. McGill Univ. MERL Rep. Ae 5.Google Scholar
Townsend, A. A. 1949 The fully developed turbulent wake of a circular cylinder. Aust. J. Sci. Res. 2, 451.Google Scholar
Townsend, A. A. 1956 The Structure of Turbulent Shear Flow. Cambridge University Press.